Chaotic dynamics of propeller singing

• 作者: WANG Yu YU Dapeng ZHAO Deyou
• 来源期刊: 声学学报：英文版
• 学科: 交通运输
• 关键词: 混沌动力学 螺旋桨 最大Lyapunov指数 动力学特征 最小嵌入维数 时间序列 相空间重构 独立变量数
• 年，卷（期）: 2012,（1）
• 页码范围: 87-100
• 页数: 14页
• 分类号: O415.5|U664.33
• 语种: 英文

摘要

The system of propeller singing is proved for the first time to have the character of chaotic dynamics through the study of the signal time series. The estimation of the topolog- ical dimension, the confirmation of the number of independent variable and the description of the character of attractor trajectory in reconstructed phase space are implemented during the analysis of the system. The result indicates that the system of propeller singing can be recon- structed by the optional delay time tD = 1, the minimal embedding dimension dE = 8, and the reconstructed topological parameter with the fractional correlation dimension D2 = 5.1579 and the positive maximum Lyapunov exponent λtD=0.0771. The results provide a new approach to the further study of the propeller singing phenomenon.